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The TQ equation of the 8 vertex model for complex elliptic roots of unity
Klaus Fabricius, Barry M. McCoy
We extend our studies of the TQ equation introduced by Baxter in his 1972 solution of the 8 vertex model with parameter given by from to the more gen…
The Eight Vertex Model.New results
Klaus Fabricius, Barry M. McCoy
Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T.…
Root of unity symmetries in the 8 and 6 vertex models
Klaus Fabricius, Barry M. McCoy
We review the recently discovered symmetries of the 8 and 6 vertex models which exist at roots of unity and present their relation with representation theory of affine Lie algebras…
New Developments in the Eight Vertex Model
Klaus Fabricius, Barry M. McCoy
We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the eight vertex model has some eigenvectors which are not eigenvectors of the spin reflection operator and…
Evaluation parameters and Bethe roots for the six vertex model at roots of unity
Klaus Fabricius, Barry M. McCoy
We propose an expression for the current form of the lowering operator of the loop algebra symmetry of the six vertex model (XXZ spin chain) at roots of unity. This opera…
Completing Bethe's equations at roots of unity
Klaus Fabricius, Barry M. McCoy
In a previous paper we demonstrated that Bethe's equations are not sufficient to specify the eigenvectors of the XXZ model at roots of unity for states where the Hamiltonian has de…